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34144234301 = 733449135613
BaseRepresentation
bin11111110011001001…
…111010101100111101
310021010120101211002102
4133303021322230331
51024411410444201
623404033234445
72316061126412
oct376311725475
9107116354072
1034144234301
1113531591661
12674aa02a25
1332b1b47248
14191c9c6109
15d4c89026b
hex7f327ab3d

34144234301 has 8 divisors (see below), whose sum is σ = 34622254200. Its totient is φ = 33666492672.

The previous prime is 34144234277. The next prime is 34144234309. The reversal of 34144234301 is 10343244143.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2859468676 + 31284765625 = 53474^2 + 176875^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34144234301 - 218 = 34143972157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34144234309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183971 + ... + 319583.

It is an arithmetic number, because the mean of its divisors is an integer number (4327781775).

Almost surely, 234144234301 is an apocalyptic number.

It is an amenable number.

34144234301 is a deficient number, since it is larger than the sum of its proper divisors (478019899).

34144234301 is a wasteful number, since it uses less digits than its factorization.

34144234301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139135.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 34144234301 its reverse (10343244143), we get a palindrome (44487478444).

The spelling of 34144234301 in words is "thirty-four billion, one hundred forty-four million, two hundred thirty-four thousand, three hundred one".

Divisors: 1 73 3449 135613 251777 9899749 467729237 34144234301